1. Graph the parabola described by y? + 10y vertex, focus, and directrix. 16x + 57 = 0.Clearly label the locations of the 2. An ellipse has foci at (2,3) and (10, 3), and vertex at (12,3). Find the equation of the ellipse. 3. Find equations for the asymptotes to the hyperbola described by 4x² – 9y? +8x+108y-284 0. %3D 4. Determine whether the equation 16x? + 25y? – 96x – 100y – 156 = 0 represents a parabola, ellipse, or hyperbola. Clearly state the location of any foci that it has. |
1. Graph the parabola described by y? + 10y vertex, focus, and directrix. 16x + 57 = 0.Clearly label the locations of the 2. An ellipse has foci at (2,3) and (10, 3), and vertex at (12,3). Find the equation of the ellipse. 3. Find equations for the asymptotes to the hyperbola described by 4x² – 9y? +8x+108y-284 0. %3D 4. Determine whether the equation 16x? + 25y? – 96x – 100y – 156 = 0 represents a parabola, ellipse, or hyperbola. Clearly state the location of any foci that it has. |
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Graph the parabola described by y? + 10y – 16x + 57 = 0.Clearly label the locations of the
vertex, focus, and directrix.
2. An ellipse has foci at (2,3) and (10,3), and vertex at (12,3). Find the equation of the ellipse.
3. Find equations for the asymptotes to the hyperbola described by 4x? – 9y? +8x+108y–284 =
0.
4. Determine whether the equation 16x2 + 25y² – 96x – 100y – 156 = 0 represents a parabola,
ellipse, or hyperbola. Clearly state the location of any foci that it has.
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